New subclasses of certain analytic functions

Abstract

For certain analytic functions fiz) in the open unit disk U, two subclasses 7ia,S;g) and Q(a,(5;g) associated with some analytic function g{z). Some interesting sufficient conditions for fiz) to be in ^(Q,^;^ ) and Qia,6;g) and some necessary conditions for f{z) belonging to •?{a,S;g) and Q{a,S;g) are considered.